Finding the Third Proportional to 123,636 and 266,460

Step by Step Solution

1. Step 1: Write the proportion equation
   123,636 : 266,460 = 266,460 : x
2. Step 2: Convert to fraction form
   123,636/266,460 = 266,460/x
3. Step 3: Cross multiply
   123,636x = 266,460 × 266,460
4. Step 4: Simplify right side
   123,636x = 71,000,931,600
5. Step 5: Solve for x
   x = 71,000,931,600/123,636
6. Step 6: Final answer
   x = 574,273.93